such that h(t)=400−16t^2. Express t as a function of height h, and find the time to reach a height of 300 feet.

Question

This i s a word problem asking for t(h) to be expressed as a function and find the time to reach a height of 300 feet

 

Answer 1

h = 400 − 16t²

 

16t² = 400 - h

4t = ±√(400-h)

t = ±(1/4)√(400-h)

 

Plug in h = 300 and compute the t.  Use the positive value.